What number should both sides of the equation x−/5=−6 be multiplied by to solve for the value of x ?(1 p

1 answer

To solve for the value of x in the equation x - 5/5 = -6, we need to isolate the variable x by getting rid of the fraction on the left side of the equation.

To do this, we can multiply both sides of the equation by the reciprocal (or multiplicative inverse) of the fraction 5/5. The reciprocal of any fraction is obtained by switching the numerator and denominator.

The reciprocal of 5/5 is 1/(5/5) which simplifies to 1.

Therefore, we can multiply both sides of the equation by 1 to solve for x:

(x - 5/5) * 1 = -6 * 1

Simplifying further, we have:

x - 5/5 = -6

x - 1 = -6

Now, to solve for x, we need to add 1 to both sides of the equation:

(x - 1) + 1 = -6 + 1

x = -5

Therefore, the value of x that satisfies the equation x - 5/5 = -6 is x = -5.